Team:Paris/Modeling/f2

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No particular strain.
No particular strain.
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[[Image:f2.png]]
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[[Image:f2a.png]]
Exactly as for the binding of IPTG on LacR (see [[Team:Paris/Modeling/estimation#how_to_control_the_concentration_of_the_transcription_factor_.3F|TF concentration control]]), leading to a lowered inhibition of ''Plac'', aTc binds to TetR. So, after having determinated the Hill function [expr.''Ptet''] = &#131;2(TetR) = &#131;2aux(IPTG), we can study [expr.''Ptet''] = &#131;2ter([TetR],[aTc]), and determine by calcul [TetR<sub>free</sub>] = &#131;2bis(aTc) = f2<sup>-1</sup>([expr.''Ptet'']), to endly give an analytical expression of &#131;2ter = &#131;2&#959;&#131;2bis
Exactly as for the binding of IPTG on LacR (see [[Team:Paris/Modeling/estimation#how_to_control_the_concentration_of_the_transcription_factor_.3F|TF concentration control]]), leading to a lowered inhibition of ''Plac'', aTc binds to TetR. So, after having determinated the Hill function [expr.''Ptet''] = &#131;2(TetR) = &#131;2aux(IPTG), we can study [expr.''Ptet''] = &#131;2ter([TetR],[aTc]), and determine by calcul [TetR<sub>free</sub>] = &#131;2bis(aTc) = f2<sup>-1</sup>([expr.''Ptet'']), to endly give an analytical expression of &#131;2ter = &#131;2&#959;&#131;2bis

Revision as of 12:07, 13 August 2008

No particular strain.

F2a.png

Exactly as for the binding of IPTG on LacR (see TF concentration control), leading to a lowered inhibition of Plac, aTc binds to TetR. So, after having determinated the Hill function [expr.Ptet] = ƒ2(TetR) = ƒ2aux(IPTG), we can study [expr.Ptet] = ƒ2ter([TetR],[aTc]), and determine by calcul [TetRfree] = ƒ2bis(aTc) = f2-1([expr.Ptet]), to endly give an analytical expression of ƒ2ter = ƒ2οƒ2bis


Otherwise, if we find in the litterature the dissociation constant of the reaction aTc + TetR⇄ aTc_TetR, we could determine by calculus the amount of free TetR, function of the expression of a known constitutive promoter before tetR and of the added aTc. In this way, we just have to study [expr.Ptet] = ƒ2(TetRfree).

F2alt.png